Rule #1: Never fly a ship you can't afford to lose.
-You can't use a joystick or otherwise manually control your ship, only point in the direction you want to go with the mouse.
-Watch the Newbie Chat. Most of the questions you might come up with will be asked there and you can learn a lot without posting the same question as 40 other people.
-When in doubt, run.
-Don't try PVP until you've got a decent hang of the game.
-Scamming (to a point) is acceptable in this game, so is ransoming, stealing, and a lot of other stuff.
-You're going to feel confused and disoriented for a while, that's normal.
Battle Clinic - Features a loadout browser where you can see how other players fit their ships and get ideas for how to fit yours. (http://eve.battleclinic.com/
EVEMon - A downloadable tool that is great for planning out your training schedule for months ahead.
EVE Fitting Tool - Downloadable fitting tool you can use to experiment with fitting ships.